A Treatise on the Integral Calculus, Vol. 1 (Classic Reprint)

Pagb Formulae inC artesian co-ordinates, 220 Circle and ellipse, 222 Hyperbola, 224 Parabola, 226 Examples of other curves, 227 Formulse in polar co-ordinates, 231 Element of area in terms of and r, 236 Area of general cubic, 238 Cubic with node, 241 Chasles8 central cubics, 242 Area of bicircular quartic, 244 Area of the pedal of a conic, 248 Area of aC assinian oval, 249 Theorem connecting the area of the Cassinian oval with that of the lemniscate, 251 Quartic with two nodes of infinity, 253 Unicursal curves, 255 Formulae for areas of transformed curves, 258 A reas in p, wco-ordinates, 260 Parallel curve of parabola, 262 Negative pedal of ellipse, 263 Steiner sT heorem on areas of pedals, 267 Steiner stheorem on roulettes, 269 A reas swept out by tangents to curves, 271 Theorem on areas intercepted by a pair of lines between two curves, .274 Theorem of Holditch, 277 A reas by approximation, 281 Examples, 282 CHAPTER YIII. EEC nPICATION OP PLANE CUEVES.
(Typographical errors above are due to OCR software and don't occur in the book.)

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